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Question: 1

Two identical small metallic spheres, each of mass 0.20 g, are suspended as pendulums by light strings from a common point as shown below. The spheres are given the same electric charge, and it is found that the two come to equilibrium when each string is at an angle of 5.0 degrees with the vertical. Each string is 30.0 cm long. Consider the second question from discussion is for small angles. Which of the following statements is false?

a) If the ratio of charge on the spheres to the length of the strings remains constant, the angle of separation remains constant.

b) If the mass of the spheres increases the separation decreases.

c) If the length of the strings increases the angles decreases.

d) If the charge on the spheres increases the angle decreases.

Question: 2

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle, which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. As the satellite passes through A, the booster’s motor is fired to insert the satellite into an elliptic transfer orbit. The booster is again fired at B to insert the satellite into a geosynchronous orbit. Knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches B on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at A.